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1 The number of octagon diagonals is 20. 2  The sum of all interior angle = 1080 degrees. 3  Since the sides for an regular octagon are equal, the interior angle at each vertex is = $\frac{1080}{8}$ = 135 degrees. 4  The total exterior angle is 360 degrees.
An regular decagon has ten equal sides and ten equal interior angles. Each of its internal angles is equal to 144$^o$. The formula to find an interior angle of an n-sided polygon is given by $\frac{n - 2}{n}$ * 180 degrees. Decagon sides = 10. $\frac{10 - 2}{10}$ * 180 degrees = 144$^o$.